Question

The number of times the graph of y = p(x) cuts the X axis is ‘a’. The degree of the polynomial p(x) is ‘b’ (> 0). Then $\frac{b}{a}$ ___ 1

• A. <
• B. >
• C. ≥
• D. ≤

Answer 1

The correct option is C

≥

Since the graph of y = p(x) with degree (p(x)) = b, can cut the X axis in at most “b” times, we know that “b” is the maximum number of times the curve can cut the X axis. So “a” could be anywhere from 0 and b, i.e. 0 < a $\le$ b. So $\frac{b}{a}$ $\ge$ 1